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Gyaan Maths
CBSE · Class 6-10
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CBSE Maths · Class 7

Chapter 9: Rational Numbers

Name: ________________________
Date: ______________
Marks: ____ / 10

Introduction to rational numbers; operations on rationals; representation on number line.

Questions

  1. Additive inverse of −79-\dfrac{7}{9}.
  2. 23−56\dfrac{2}{3} - \dfrac{5}{6}.
  3. Multiply 45\dfrac{4}{5} and −1516-\dfrac{15}{16}.
  4. Standard form of −6/9-6/9.
  5. Add −3/4+5/6-3/4 + 5/6.
  6. Multiply 2/3×−9/42/3 \times -9/4.
  7. Reciprocal of −7/5-7/5.
  8. Rational between 1/31/3 and 1/21/2.
  9. Is 00 a rational number?
  10. Simplify −12−16\dfrac{-12}{-16}.

Extra Practice (Optional)

  • Is 00 rational?
  • Reciprocal of −27-\dfrac{2}{7}.
  • Standard form of 18−24\dfrac{18}{-24}.

Answer Key (For Teachers)

  1. Answer: 79\dfrac{7}{9}.
    Working: Add to get 00.
  2. Answer: −16-\dfrac{1}{6}.
    Working: LCM =6= 6: 4−56\dfrac{4-5}{6}.
  3. Answer: −34-\dfrac{3}{4}.
    Working: Cancel.
  4. Answer: −2/3-2/3
    Working: Divide by HCF 33.
  5. Answer: 1/121/12
    Working: LCM 1212: −9/12+10/12-9/12 + 10/12.
  6. Answer: −3/2-3/2
    Working: −18/12=−3/2-18/12 = -3/2.
  7. Answer: −5/7-5/7
    Working: Swap and negate?
  8. Answer: 5/125/12
    Working: 5/125/12.
  9. Answer: Yes.
    Working: 0=0/10 = 0/1.
  10. Answer: 3/43/4
    Working: Both negatives: 12/16=3/412/16 = 3/4.
Gyaan Maths · CBSE Class 7 · Chapter 9
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026